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Simplifying 4(u + 6) = -2(5u + -8) + 8u Reorder the terms: 4(6 + u) = -2(5u + -8) + 8u (6 * 4 + u * 4) = -2(5u + -8) + 8u (24 + 4u) = -2(5u + -8) + 8u Reorder the terms: 24 + 4u = -2(-8 + 5u) + 8u 24 + 4u = (-8 * -2 + 5u * -2) + 8u 24 + 4u = (16 + -10u) + 8u Combine like terms: -10u + 8u = -2u 24 + 4u = 16 + -2u Solving 24 + 4u = 16 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. 24 + 4u + 2u = 16 + -2u + 2u Combine like terms: 4u + 2u = 6u 24 + 6u = 16 + -2u + 2u Combine like terms: -2u + 2u = 0 24 + 6u = 16 + 0 24 + 6u = 16 Add '-24' to each side of the equation. 24 + -24 + 6u = 16 + -24 Combine like terms: 24 + -24 = 0 0 + 6u = 16 + -24 6u = 16 + -24 Combine like terms: 16 + -24 = -8 6u = -8 Divide each side by '6'. u = -1.333333333 Simplifying u = -1.333333333
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